A computational framework for large strain electromechanics of electro-visco-hyperelastic beams

In this paper, a new framework for large strain of electro-active viscoelastic polymeric beams is developed. The kinematical quantities of beam are derived, and then the constitutive equations of electromechanical beam are developed. To expand the formulation to viscoelastic regime, a generalization of quasi-linear viscoelasticity theory for electo-mechanical deformation is developed and called electro-mechanical quasi-linear viscoelastic (EM-QLV) theory. To deal with highly nonlinear formulation, a finite element formulation in Total Lagrangian framework is derived. Finally, to examine the applicability of the proposed model, several examples are presented and compared with the results in the literature.